In-Medium Pion Properties from Chiral Perturbation Theory

Details In-Medium Pion Properties from Chiral Perturbation Theory In-Medium Pion Properties from Chiral Perturbation Theory

1996-09-09

arxiv.org/abs/hep-ph/9609291v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at Int. Symp. Non-Nucleonic Degrees of Freedom Detected in Nucleus, Sept. 2-5, 1996 (Osaka, Japan); 5 pages latex

Scientific paper

Two-point functions related to the pion weak decay constant $f_\pi$ are calculated from the generating functional of chiral perturbation theory in the mean field approximation and the heavy-baryon limit. The aim is to demonstrate that Lorentz invariance is violated in the presence of background matter. This fact manifests itself in the splitting of both $f_\pi$ and the pion mass into uncorrelated time- and space-like parts. We emphasize the different in-medium renormalizations of the correlation functions, show the inequivalence between the in-medium values of $f_\pi$ deduced from Walecka-type models, on the one hand, and QCD sum rules, on the other hand, and elaborate on the importance for some nuclear physics observables.

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